AEB - DEC, find the value of x. A 3x E 14 18 B 4x-1 D​

Use an equation to represent the corresponding angle relationship between A and B.

Ans:

4x = 2(x + 14)

Since they are corresponding, they are considered equal.

Use the equation to find the measures of A and B.

Ans: Solve for x and substitute it for the angles.

4x = 2(x + 14)

4x = 2x + 28

4x - 2x = 28

2x = 28

x = 28 ÷ 2

x = 14

Now substitute:

Remember, ∠A = ∠B

∠A = 4(14)

∠B = 2(14 + 14)

4(14) = 2(14 + 14)

56 = 2(28)

56 = 56

Correct

56° is the measure for angles for ∠A and ∠B